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Proof step 33 from proof content-write (previous step)

# buf = VFS_PAGE_SIZE, n2 + VFS_PAGE_SIZE = m0 * VFS_PAGE_SIZE + n0, VFS_PAGE_SIZE * m + n1 = n2 + VFS_PAGE_SIZE, n2 = m1 * VFS_PAGE_SIZE + n3, n0 < VFS_PAGE_SIZE, n1 < n2 + VFS_PAGE_SIZE, n1 < VFS_PAGE_SIZE, n3 < VFS_PAGE_SIZE ⊦ VFS_PAGE_SIZE = 0, (n + m ∈ content ⊃ content[n + m];zeropage)[n1] = (m0 + n ∈ content ⊃ content[m0 + n];zeropage)[n3], m = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 34:
# buf = VFS_PAGE_SIZE, (m1 * VFS_PAGE_SIZE + n3) + VFS_PAGE_SIZE = m0 * VFS_PAGE_SIZE + n0, n0 < VFS_PAGE_SIZE, n3 < VFS_PAGE_SIZE ⊦ (n + m0 ∈ content ⊃ content[n + m0];zeropage)[n0] = (m0 + n ∈ content ⊃ content[m0 + n];zeropage)[n3], m0 = 0

Rule argument

Additional information

Used simplifier rules: ⊦ m ≠ 0 → (m * n = 0 ↔ n = 0); (s)% ⊦ m < m + n ↔ n ≠ 0; (s)%lf-02: ⊦ m < n ∧ m = n0 → n0 < n; (forward) from specification nat-basic% ⊦ m < n → n ≠ 0; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%mult-c: ⊦ m * n = n * m; from specification nat-mult%mult-a: ⊦ m0 * m * n = (m0 * m) * n; from specification nat-mult% ⊦ n0 < n ∧ n1 < n → (m * n + n0 = m0 * n + n1 ↔ m = m0 ∧ n0 = n1); (ws)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic% ⊦ VFS_PAGE_SIZE ≠ 0; (s)